A gym at a school is being painted. The four walls and the ceiling are to be painted (but not the floor). The gym measures 100 ft x 65 ft x 25 ft. A 5 gallon can of paint costs $151.99 and covers 1750 ft. How many cans should be purchased? What will it cost to paint two coats for this gym (include HST)? ​

Answers

Answer 1

9514 1404 393

Answer:

17 cans$2,971.40

Step-by-step explanation:

We assume ...

the 25' dimension is the wall heightthe HST rate is 15% (the paint is not purchased in Ontario)only full cans of paint can be purchased

The wall area is the wall height times the perimeter of the room.

  wall area = (25')(2(100' +65')) = 8250 ft²

The ceiling area is the product of length and width.

  ceiling area = (100')(65') = 6500 ft²

Then the area to be painted with each coat is ...

  painted area = wall area + ceiling area = (8250 +6500) ft² = 14750 ft²

Then two coats of paint will require sufficient paint to cover ...

  (2 coats)×(14750 ft²/coat) = 29,500 ft²

__

If each can of paint covers 1750 ft², the number of cans required is ...

  (29,500 ft²)/(1750 ft²/can) = 16.86 cans

  17 cans must be purchased

__

The cost of 17 cans of paint with sales tax will be ...

  (17 cans)($151.99/can)(1 +15%) = $2971.40


Related Questions

How do we solve this?

Answers

Answer:

f(x)=11+7√x

f'(x)=7/(2x^(1/2))

putting x=1

f'(1) = 7/(2×1^(1/2))

= 7/2 = 3.5

putting x=2

f'(2) = 7/(2×2^(1/2))

= 7/(2×√2)

= 7√2/4

= 2.47 (rounded to the nearest hundredth)

f'(3) = 7/(2×3^(1/2))

= 7/(2×√3)

= 7√3/6

= 2.02 (rounded to the nearest hundredth)

Find f(2) given f(x) = -3x^3 + x^2 – 3

Answers

Answer:

D

Step-by-step explanation:

f(x) = -3x^3 + x^2 – 3       f(2) means that wherever you see a x, put in a 2.

f(2)= -3(2)^3 + (2)^2 - 3

f(2) = -3*8 + 4 - 3

f(2) = - 24 + 1

f(2) = - 23

f(x)=-3x^3+x^2-3

[tex]\\ \sf \longmapsto f(2)[/tex]

[tex]\\ \sf \longmapsto -3(2)^3+(2)^2-3[/tex]

[tex]\\ \sf \longmapsto -3(8)+4-3[/tex]

[tex]\\ \sf \longmapsto -24+1[/tex]

[tex]\\ \sf \longmapsto -23[/tex]

The probability of a customer arrival at a grocery service counter in any one second is equal to 0.4. Assume that customers arrive in a random stream, so an arrival in any one second is independent of all others. (Round your answers to four decimal places.) (a) Find the probability that the first arrival will occur during the seventh one-second interval. 0.0187 Correct: Your answer is correct. (b) Find the probability that the first arrival will not occur until at least the seventh one-second interval.

Answers

Answer:

a. approximately 0.0187

b. 0.047

Step-by-step explanation:

q = 1-p

= 1-0.4

q = 0.6

a. the probability that the first arrival will occur during seventh one-second interval

probability(7) = 0.6⁷⁻¹ x 0.4

= 0.6⁶ x 0.4

= 0.046656 x 0.4

= 0.0186624

approximately 0.0187

b. probability that the first arrival will not occur until at least the seventh one second interval

p(y≥7) = 1-p(x<7)

= 1-[(0.4)(0.6)⁰ + (0.4)(0.6)¹ +(0.4)(0.6)²+(0.4)(0.6)³+(0.4)(0.6)⁴+(0.4)(0.6)⁵]

= 1-(0.4+0.24+0.144+0.0864+0.05184+0.031104

= 1-0.95334

= 0.04667

= 0.047

solve for x. please help !

Answers

Answer:

-2

Step-by-step explanation:

3x + 8x - 3 = -25

Move the -3 over to the other side. This will make the -3 into positive 3

3x + 8x = -25 + 3

Now add like terms

11x = -22

Divide both sides by 11 to get x by itself

x = -2

Answer:

x= -2

Step-by-step explanation:

First you combine the like terms 3x and 8x which then gives you 11x

then you'll have 11x-3=-25

add 3 to both sides and you have 11x=-22

divide the 11 on both sides

then you'll have x=-2

I need help please can not figure out this problem

Answers

1. (2x-3)(x-4)
2x(x) =2x^2
2x(-4)= -8x
-3(x)= -3x
-3(-4)= 12
2x^2 -8x-3x+12= 2x^2 -11x+12

2. (x+2)(x+5)
x^2+5x+2x+10= x^2 +7x+10

3. (3x-1)(x+2)
3x^2 +6x-x-2= 3x^2+5x-2

If the two lines below are perpendicular and the slope of the red line is
what is the slope of the green line?
A. -2/5
B. 2/5
C. 5/2
D. -5/2

Answers

Answer:

B. 2/5

Step-by-step explanation:

If Ahmad’s balance is $85, what will the minimum payment be?

Answers

$255 at 4 days and $850 at 1 week and I don’t know the month payment yet soo pls rate :)))

Reggie and Jay go for a walk every morning. Reggie walks 2 14 miles. Jay walks 138 miles less than Reggie. What is the total distance they walk every morning?

Answers

Reggie walks half the distance Jay walks

Answer:

They walked a total distance of 290 miles every morning.

Step-by-step explanation:

First, we have to subtract 214 and 138.

= Jay walks 76 miles.

Next, we have add 214 and 76.

= 290 mi.

What is the distance between the points
(-2,5) and (3,7).

Help
(Will make you the brainliest if answer “correctly”)

Answers

(-2,5)(3,7)

Distance:-

[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(3+2)^2+(7-5)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{5^2+2^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{25+4}[/tex]

[tex]\\ \sf\longmapsto \sqrt{29}[/tex]

[tex]\\ \sf\longmapsto 5.2[/tex]

Given Points

-2 and 5 (x = -2 , y = 5)

3 and 7 (x = 3 , y = 7)

[tex]\begin{gathered} {\underline{\boxed{ \rm {\red{Distance \: = \: \sqrt{(x_2 - x_1) \: + \: (y_2 - y_1)} }}}}}\end{gathered}[/tex]

[tex] \begin{cases}\large\bf{\blue{ \implies}} \tt \: Distance \: = \: \sqrt{ \bigg(3 - [ - 2] \bigg) \: + \: (7 - 5)}\\ \\ \large\bf{\blue{ \implies}} \tt \: Distance \: = \: \sqrt{ (3 + 2 ) \: + \: (7 - 5)} \\ \\ \large\bf{\blue{ \implies}} \tt \: Distance \: = \: \sqrt{ {5} \: ^{2} + \: {2}^{2} } \\ \\ \large\bf{\blue{ \implies}} \tt \: Distance \: = \: \: \sqrt{25 \: + \: 4} \\ \\ \large\bf{\blue{ \implies}} \tt \: Distance \: = \: \: \ \sqrt{29} \\ \\\large\bf{\blue{ \implies}} \tt \: Distance \: = \: \:5.38 \: \: units \end{cases}[/tex]

Lấy ngẫu nhiên 25 lọ thuốc Vitamin tổng hợp do một máy tự động đóng chai ta thu được s'2 =0,012(l2).Máyđượcgọilàđạtchuẩnnếuđộphântántheoquyđịnhlà2 =0,005(l2). Với mức ý nghĩa 0,05 hãy kiểm định máy đóng chai có đạt chuẩn không? Biết lượng thuốc trong chai là biến ngẫu nhiên có phân phối chuẩn.

Answers

Answer:

I really can't read this

Step-by-step explanation:

Becca tried to evaluate the expression
45−(8×3+15

Answers

Answer:

Step-by-step explanation:

45 - (8 x 3 + 15)

45 - (24 + 15)  ---> do parentheses first

45 - ( 39 )

45 -  39

6

The value of the expression Becca should get after simplification is 6.

Given is an expression 45 - (8 × 3 + 15), Becca is trying to solve the same,

To evaluate the expression 45 - (8 × 3 + 15), Becca should follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):

First, calculate the value inside the parentheses: 8 × 3 + 15

= 24 + 15

= 39.

Now, substitute this value back into the original expression: 45 - 39.

Finally, perform the subtraction: 45 - 39 = 6.

So, the value of the expression is 6.

Learn more about expression click;

https://brainly.com/question/34132400

#SPJ3

Please help please !!!!

Answers

Answer:

[tex]14<15[/tex]

[tex]0<2x+10<62[/tex]

[tex]-10<2x<52[/tex]

[tex]-5<x<26[/tex]

~OAmalOHopeO

A ___________ gives theoretical probabilities of each possible event in an experiment.

A. probability outcome
B. sample space
C. random event
D. probability distribution

Answers

A probability outcome gives theoretical probabilities of each possible event in an experiment so option (A) will be correct.

What is probability?

The probability of an event occurring is defined by probability.

Do not take underestimate probability it has several uses in daily life whether forecasts and like that.

Theoretical probability is the probability that shows by the probability formula while experimental probability is an actual probability that can obtain by experiments.

There are various situations in our daily lives where we might need to make predictions about how things will turn out.

Probability outcome which comes out by mathematical formula is always theoretical probability while actual experiment gives us experimental probability hence probability outcome will be the correct answer.

For more information about the probability

brainly.com/question/11234923,

#SPJ2

What is the largest value of x for which the following equation has a real solution (x,y)?

Answers

Answer:

x = 9/2

Step-by-step explanation:

x^2+7x+y^2+4y=191/4

Complete the square: (x+7/2)^2-(49/4)+(y+2)^2-4 = 191/4

Simplify: (x+7/2)^2+(y+2)^2=191/4+49/4+4

(x+7/2)^2 + (y+2)^2 = 64

(x+7/2)^2 + (y+2)^2 = (8)^2

Center of circle -> (-7/2, -2)

Radius -> 8

-7/2 + 8 = 9/2

x = 9/2

The vertical motion of a mass attached to a spring is described by the given initial-value problem. 4x " + x' + x = 0, x(0) = 8, x'(0) = 4
Determine the maximum vertical displacement of the mass. (Round your answer to three decimal places.)

Answers

Answer:

m = 4

k = 25.56

b = 20

The differential equation for damping motion is:

where,

Substitute the values in the differential equation and consider x" = r², x' =r and solve:

Therefore, solution is given by:

at t = 0, x = 1

at t = 0

x' =0

Step-by-step explanation:

true or false?
help me please

Answers

Answer:

False

Step-by-step explanation:

The point that is equidistant from the vertices of a triangle is called the circumcenter.

9514 1404 393

Answer:

  False

Step-by-step explanation:

The incenter is the center of the inscribed circle, which is tangent to all of the sides of the triangle. The incenter is equidistant from the sides, not the vertices.

_____

Additional comment

The circumcenter is the center of the circumscribing circle. Each of the vertices of the triangle is on the circumcircle, so the circumcenter is equidistant from the vertices.

The incenter is located at the intersection point of the angle bisectors. The circumcenter is located at the intersection point of the perpendicular bisectors of the sides.

Write a number in which the value of the 3 is ten times as great as the value of 3 in 135,864

Answers

Answer:

Step-by-step explanation:

the 3 in 135,864 is 30,000

if you mutiply that by 10 you get 300,000

you just need to write any number with a 3 in the hundred thousands place

What are some acceptable ways to name an line

Answers

Answer:

If there are points that are named you can name it that way

Step-by-step explanation:

If there is a point and it's called A, and there is another point and it is called B, and they form a line together, you can call it "Line AB"

Need help is this right or what is the right answer

Answers

Answer:

A

Step-by-step explanation:

the answer is A and not C. equation in form of y=mx+b

so start off by (0,2) and you can see the graph go by 1 x and 1 y.

C=n+2

Answer:

A

Step-by-step explanation:

its starting point is 2 up to +2 and it goes up at out by 1 so n also ik this was already answered but i want the brainly points

Find a​ least-squares solution of A by​ (a) constructing the normal equations for and​ (b) solving for . A ​, a. Construct the normal equations for . nothing nothing ​(Simplify your​ answers.) b. Solve for .

Answers

I dont know math ok 34 oh come on

Please Help I will give you a lot of points if you do!

Answers

Recall that ab   ⇔   ¬ab. So we can write

q ⇒ (pr )   ⇔   ¬q ∨ (pr )

Then the negation of this would be, for instance,

¬(¬q ∨ (pr ))   ⇔   ¬(¬q) ∧ ¬(pr )

…   ⇔   q ∧ (¬p ∨ ¬r )

…   ⇔   (¬pq) ∨ (q ∧ ¬r )

…   ⇔   ¬(p ∨ ¬q) ∨ (q ∧ ¬r )

…   ⇔   (p ∨ ¬q) ⇒ (q ∧ ¬r )

It's impossible to tell what kind of statement your program is expecting, but since there are 5 slots available, my money would be on q ∧ (¬p ∨ ¬r ), so long as ¬p and ¬r are options.

Hi I need help could someone please help me

Answers

Answer:

it's hypotenuse

Step-by-step explanation:


constant of proportionality

Answers

Answer:

4.2

Step-by-step explanation:

Constant of proportionality = y/x = 8.4 / 2 = 4.2

Can someone help me find the answer?

Answers

Answer:

a. x = 3/a

Step-by-step explanation:

Add all like terms on left hand side of the equation:

5 ax + 3 ax => 8 ax

Bring like term 4ax on left hand side

8ax - 4ax

=> 4ax

Therefore we get 4ax = 12

ax = 12/4

ax = 3

x = 3/a

Which equation represents the data in
the table?
x 0 1 2 3 4
y -4 -2 0 2 4
F y= x -4
G y= 2x -2
H y = 2x - 4
I y= 4x -4

Answers

Answer:

y = 2x - 4

Step-by-step explanation:

The equations are put in slope intercept form

Slope intercept form: y = mx + b

Where m = slope and b = y intersect

So in order to find the equation of the data represented by the table we will have to find the slope and y intercept

Let's begin!

First let's find the slope

We can find the slope by using the slope formula

m = (y2 - y1) / (x2 - x1) where the x and y values are derived from coordinates from the table

The points chosen may vary but I have chosen the points (0,-4) and (1,-2)

Now that we have chosen the points we will use to find the slope let's define the variables

remember coordinates are written like this: (x,y)

The x value of the second coordinate is 1 so x2 = 1

The x value of the first coordinate is 0

So x1 = 0

The y value of the second coordinate is -2 so y2 = -2

The y value of the first coordinate is -4

So y1 = -4

Now that we have defined each variable let's plug in the values into the formula

Formula: m = (y2 - y1) / (x2 - x1)

Variables: x2 = 1, x1 = 0, y2 = -2, y1 = -4

Substitute values

m = (-2 - (-4) / ( 1 - 0 )

Evaluate

The negative signs cancel out on top and it changes to +4

m = (-2 + 4)/(1-0)

Add top values

m = 2/(1-0)

Subtract bottom numbers

m = 2/1

Simplify fraction

m = 2

So we can conclude that the slope (m) = 2

Now let's find the y intercept or "b"

The y intercept is the value of y when x = 0

If you look at the table when x = 0 y = -4 meaning that the y intercept or "b" is -4

Now that we have found everything let's find the equation of the data represented by the table

The equation is in slope intercept form

y = mx + b

Define variables

m = 2 and b = -4

Substitute values

y = 2x - 4

The equation is y = 2x - 4

You are skiing down a mountain with a vertical height of 1250 feet. The distance that you ski as you go from the top down to the base of the mountain is 3350 feet. Find the angle of elevation from the base to the tep of the mountain. Round your answer to a whole number as necessary. ​

Answers

Step-by-step explanation:

here is the answer to your question

A boat travels 400 kilometers in 9.6 hours (with a constant speed). How much time will it take to travel 138 kilometers? (round to the nearest tenth of an hour)

Answers

Step-by-step explanation:

here's the answer to your question

PLS HELP
Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (g o f) (-5)


–6



3



–59



26

Answers

Answer:

-6

Step-by-step explanation:

f(x) = -2x - 7 and g(x) = -4x + 6

Find f(-5)

f(-5) = -2(-5) -7 = 10-7 = 3

The find g(3)

g(3) = -4(3) +6

     = -12 +6 =-6

g(f(-5)) = -6

Which of the following algebraic steps will solve the equation 5p= -35 and what is the solution

Answers

Answer:

p=-7

Step-by-step explanation:

5p=-35

Divide both sides by 5

5p/5 =-35/5

therefore p=-7

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{5p= -35}\\\\\underline{\huge\text{DIVIDE 5 BOTH SIDES}}\\\\\mathsf{\dfrac{5p}{5p}= \dfrac{-35}{5}}\\\\\large\text{CANCEL out: }\dfrac{5}{5}\large\text{ because that gives you 1}\\\large\text{KEEP: }\dfrac{-35}{5}\large\text{ because that gives you the value of p.}\\\\\large\textsf{p = }\mathsf{\dfrac{-35}{5}}\\\\\mathsf{-35\div5= p}\\\\\large\text{Simplify above and you have your result to the p-value.}\\\\\boxed{\boxed{\huge\text{Therefore your answer is: \textsf{p = -7}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

How many 1.5 ft
pieces of pipe can you cut from a 12ft pipe

Answers

Answer:

8 pieces.

Step-by-step explanation:

12 / 1.5

= 24 / 3

= 8.

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